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Finding the Fourth Proportional to 517.37, 713.91 and 307.56

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Solution

The fourth proportional to 517.37, 713.91 and 307.56 is: 424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.37 : 713.91 = 307.56 : x
  2. Step 2: Convert to fraction form
    517.37/713.91 = 307.56/x
  3. Step 3: Cross multiply
    517.37x = 713.91 × 307.56
  4. Step 4: Simplify right side
    517.37x = 219,566.24
  5. Step 5: Solve for x
    x = 219,566.24/517.37
  6. Step 6: Final answer
    x = 424.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.